×

Uh-oh, it looks like your Internet Explorer is out of date.

For a better shopping experience, please upgrade now.

Random Heterogeneous Materials: Microstructure and Macroscopic Properties / Edition 1
     

Random Heterogeneous Materials: Microstructure and Macroscopic Properties / Edition 1

5.0 1
by Salvatore Torquato, S. Torquato
 

ISBN-10: 0387951679

ISBN-13: 9780387951676

Pub. Date: 10/28/2005

Publisher: Springer New York

This accessible text presents a unified approach of treating the microstructure and effective properties of heterogeneous media. Part I deals with the quantitative characterization of the microstructure of heterogeneous via theoretical methods; Part II treats a wide variety of effective properties of heterogeneous materials and how they are linked to the

Overview

This accessible text presents a unified approach of treating the microstructure and effective properties of heterogeneous media. Part I deals with the quantitative characterization of the microstructure of heterogeneous via theoretical methods; Part II treats a wide variety of effective properties of heterogeneous materials and how they are linked to the microstructure, accomplished by using rigorous methods.

Product Details

ISBN-13:
9780387951676
Publisher:
Springer New York
Publication date:
10/28/2005
Series:
Interdisciplinary Applied Mathematics Series , #16
Edition description:
1st ed. 2001. Corr. 2nd printing 2005
Pages:
703
Product dimensions:
9.30(w) x 6.90(h) x 1.60(d)

Table of Contents

Motivation and overview
• PART I Microstructural characterization
• Microstructural descriptors
• Statistical mechanics of particle systems
• Unified approach
• Monodisperse spheres
• Polydisperse spheres
• Anisotropic media
• Cell and random-field models
• Percolation and clustering
• Some continuum percolation results
• Local volume fraction fluctuation
• computer simulation and image analysis
• PART II Microstructure property connections
• Local and homogenized equations
• Variational Principles
• Phase-interchange relations
• Exact results
• Single-inclusion solutions
• Effective medium approximations
• Cluster expansions
• Exact contrast expansions
• Rigorous bounds
• Evaluation of bounds
• Cross-property relations
• Appendix A Equilibrium Hard disk program
• Appendix B Interrelations among 2-3D moduli* References
• Index

Customer Reviews

Average Review:

Post to your social network

     

Most Helpful Customer Reviews

See all customer reviews

Random Heterogeneous Materials: Microstructure and Macroscopic Properties 5 out of 5 based on 0 ratings. 1 reviews.
Guest More than 1 year ago
I had the opportunity to use this text while taking Prof. Torquato's material science course at Princeton. The classnotes were a condensed version of the book, while the book describes all the concepts in their glorious details. The book presents a unified treatment of the basic equations of continuum mechanics (flow, elasticity, conduction, diffusion) from a statistical mechanical viewpoint, in composite materials characterized by effective properties (conductivity, permeability, stiffness, trapping constant). The effective properties are calculated rigorously from first principles via an arsenal of correlation functions (for random media- see Section I). To my knowledge, it is the first book which treats all these topics in the context of *random* media. Most of these statistical mechanical techniques were previously available only in the specialized literature. This treatment is modern, and lucid. Difficult concepts are explained via numerous examples. Careful attention is paid to the mathematical results. The book uses lots of vector and tensor calculus, so a quick review of these concepts will be helpful. An acquaintance with modern statistical mechanics is recommended (Chandler, McQuarrie). Extensive use is made of variational principles in the second half of the book. There is, of course, a section on hard sphere packing for which the author is well-known for. The chapter on Homogenization theory is one of the best I've seen.